Let regular language L1 recognized by DFA (Q1,Z,81,s1,F1) and regular language L2 recognized by DFA (Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2 •For...


Let regular language L1 recognized by DFA (Q1,Z,81,s1,F1) and regular language L2 recognized by DFA<br>(Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2<br>•For allxeZ and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x))<br>•s= (s1,s2)<br>Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA<br>that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.lf no,<br>explain why.<br>Let regular language L1 recognized by DFA (Q1,E,81,s1,F1) and regular language L2 recognized by DFA<br>(Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2<br>•For allxeE and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x))<br>•s= (s1,s2)<br>Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA<br>that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.If no,<br>explain why.<br>

Extracted text: Let regular language L1 recognized by DFA (Q1,Z,81,s1,F1) and regular language L2 recognized by DFA (Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2 •For allxeZ and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x)) •s= (s1,s2) Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.lf no, explain why. Let regular language L1 recognized by DFA (Q1,E,81,s1,F1) and regular language L2 recognized by DFA (Q2,1,82,s2,F2). We will construct a product DFA as the quintuple (Q,E,8,s,F) where: •Q=Q1×Q2 •For allxeE and (q1,q2)EQ1×Q2,8((q1,q2),x) = (81(q1,x),82(q2,x)) •s= (s1,s2) Suppose we have a DFA that recognizes concatenation of two languages L1 L2. Also suppose we have a DFA that recognizes L2. Using these two DFAS, can we construct a new DFA to recognize L1? If yes, construct it.If no, explain why.

Jun 11, 2022
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